Analysis of quantization noise spectrum in signal reconstruction

Abstract

Quantization is an essential but often ignored part of the realization of compressive sampling (CS), and the analysis of quantization noise arise from CS is incomplete and not sufficient until now. The quantization noise is generated from quantizing CS values by a uniform quantizer under ideal and noise conditions. And also, the auto correlation function and power spectrum have been derived. It is concluded that the quantization noise is always uncorrelated with the input signals, the quantization noise is white and the spectrum is white noise spectrum. On this basis, we analyze the reconstruction error introduced by quantization noise quantitatively and give the upper and lower bounds of reconstruction error. Simulation results validate the validity of the analysis for further.